Math 1 · Unit 5 · Lesson 4 · part 6 of 6

Practice Problems

Try them, get help one step at a time, then print how it went.

Practice: try it, then get help one step at a time

Build the constraint, read the region, count the dots, and check two limits at once. Hint gives a nudge, Show next step shows one worked step at a time, Reveal answer checks, and Hide help / start over clears the card.

My results

Finished the practice? Print a page that shows each question, what you typed or chose, the correct answer, and how it went. Good for showing a teacher or keeping in a folder.

Exit ticket

On paper or an index card. Use the math word and the plain-English word.

  1. Pens cost $2 and notebooks cost $3; you can spend at most $18. Write the constraint.
  2. For that constraint, is 3 pens and 4 notebooks allowed? 6 pens and 3 notebooks?
  3. Why is the answer to a hot dog and drink budget really a set of dots?
  4. What happens when a story has two limits at once?
Check your exit ticket
  1. 2x + 3y ≤ 18.
  2. (3, 4): 6 + 12 = 18 ≤ 18, allowed, exactly on the boundary. (6, 3): 12 + 9 = 21, not allowed.
  3. You can only buy whole hot dogs and whole drinks, so only whole-number points in the region are real combinations.
  4. Shade both regions; the allowed combinations are where they overlap. That is Unit 6.

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